Percentage decrease calculator uses two values, original $X$ and final $Y$ such that $X>Y$ and $X\ne 0$, and calculate the percent of decrease from the original to final. In other words, it determines the change of a quantity to a smaller amount in terms of percent. It is an online mathematical tool requires two real numbers, and finds the amount of a loss as a percentage of the original value.
It is necessary to follow the next steps:
A percent of change is increased or decreased the percent an amount in relation to the original amount. The formula for the percent change is
If the original amount is greater than the final amount, then the percent of change decreased. If the percent of change decreased, then the percent of change is a percent of decrease and vise versa. The percent of decrease is the difference between an original and final amounts divided by the absolute value of the original amount and multiplied by $100\%$.
The percentage decrease work with steps shows the complete step-by-step calculation for finding the percent of decrease from one amount to another with the original (initial) value of $100$ and the final value of $80$. For any other combinations of the original and final values, just supply values and click on the "GENERATE WORK" button. The grade school students may use this percent decrease calculator to generate the work, calculate the percent of change for some discount, verify the results or do their homework problems efficiently.
Since the percent of decrease describes an amount that has be reduced, an application of percent of decrease is in shopping with discounts. Some companies describe their failure as decrease in profit levels using the percent of decrease.
Practice Problem 1:
In $2010$, the population of Europe was $754,036,789.$ In $2018$, the population was $653,432,140.$ Find the percent of decrease from $2010$ to $2018$.
Practice Problem 2:
Find the percent of decrease from $510$ to $140$.
The Percentage Decrease Calculator, formula, example calculation (work with steps) and practice problems would be very useful for grade school students of K-12 education to learn how to find percent of decrease from one number to another. This concept is very useful in real-life, for instance, to find the discount and sale price of an item.